30y=18y^2

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Solution for 30y=18y^2 equation:


Simplifying
30y = 18y2

Solving
30y = 18y2

Solving for variable 'y'.

Combine like terms: 18y2 + -18y2 = 0
30y + -18y2 = 0

Factor out the Greatest Common Factor (GCF), '6y'.
6y(5 + -3y) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667

Solution

y = {0, 1.666666667}

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